Theorems · Theorem · general topology
MeasureTheory.measurableEquiv_range_coe_nat_of_infinite_of_countable
∀ (α : Type u_1) [inst : MeasurableSpace α] [StandardBorelSpace α] [Infinite α] [Countable α], Nonempty (α ≃ᵐ ↑(Set.range Nat.cast))
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- MeasurableSpacestatement and proof · cited by 13,106
- Set.Elemstatement and proof · cited by 7,166
- Set.rangestatement and proof · cited by 4,705
- Countablestatement and proof · cited by 633
- Infinitestatement and proof · cited by 352
- Nonempty.someproof · cited by 340
- Equiv.transproof · cited by 337
- StandardBorelSpacestatement and proof · cited by 304
- MeasurableEquivstatement · cited by 269
- Equiv.ofInjectiveproof · cited by 64
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.exists_subset_real_measurableEquivproof · cited by 1